On Behavior of the Periodic Orbits of a Hamiltonian System of Bifurcation of Limit Cycles

被引：0

作者：

Menaceur, Amor ^{[1
]}

Abdalla, Mohamed ^{[2
,3
]}

Idris, Sahar Ahmed ^{[4
,5
]}

Mekawy, Ibrahim ^{[6
]}

机构：

[1] Univ Guelma, Dept Math, Lab Anal & Control Differential Equat ACED, POB 401, Guelma 24000, Algeria

[2] King Khalid Univ, Dept Math, Coll Sci, POB 9004, Abha 61413, Saudi Arabia

[3] South Valley Univ, Math Dept, Fac Sci, Qena 83523, Egypt

[4] King Khalid Univ, Coll Ind Engn, Abha, Saudi Arabia

[5] Juba Univ Khartoum, Dept Math, Fac Sci, Juba, Sudan

[6] Qassim Univ, Dept Math, Coll Arts & Sci, Arras, Saudi Arabia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2021年 / 2021卷

关键词：

Bifurcation; (mathematics);

D O I：

10.1155/2021/1952706

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In light of the previous recent studies by Jaume Llibre et al. that dealt with the finite cycles of generalized differential Kukles polynomial systems using the first- and second-order mean theorem such as (Nonlinear Anal., 74, 1261-1271, 2011) and (J. Dyn. Control Syst., vol. 21, 189-192, 2015), in this work, we provide upper bounds for the maximum number of limit cycles bifurcating from the periodic orbits of Hamiltonian system using the averaging theory of first order.

引用

页数：6

共 14 条

[1]

Berezin IS., 1964, Computing Methods

[2] Averaging methods for finding periodic orbits via Brouwer degree [J].